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Finding the Third Proportional to 376,050 and 820,692

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Solution

The third proportional to 376,050 and 820,692 is: 1,791,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,050 : 820,692 = 820,692 : x
  2. Step 2: Convert to fraction form
    376,050/820,692 = 820,692/x
  3. Step 3: Cross multiply
    376,050x = 820,692 × 820,692
  4. Step 4: Simplify right side
    376,050x = 673,535,358,864
  5. Step 5: Solve for x
    x = 673,535,358,864/376,050
  6. Step 6: Final answer
    x = 1,791,079.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.